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＜E-Book＞
Operator Functions and Localization of Spectra / by Michael I. Gil
(Lecture Notes in Mathematics. ISSN:16179692 ; 1830)

Edition	1st ed. 2003.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2003
Language	English
Size	XIV, 262 p : online resource
Authors	*Gil, Michael I author SpringerLink (Online service)
Subjects	LCSH:Operator theory LCSH:Algebras, Linear LCSH:Functions of complex variables LCSH:Integral equations FREE:Operator Theory FREE:Linear Algebra FREE:Functions of a Complex Variable FREE:Integral Equations
Notes	Preface -- Preliminaries -- Norms of Matrix-Valued Functions -- Invertibility of Finite Matrices -- Localization of Eigenvalues of Finite Matrices -- Block Matrices and pi-triangular Matrices -- Norm Estimates for Functions -- Functions of Non-Compact Operators -- Bounded Perturbations of Nonself-Adjoint Operators -- Spectrum Localization of Nonself-Adjoint Operators -- Multiplicative Representations of Resolvents -- Relatively $P$-triangular Operators -- Relatively Compact Perturbations of Normal Operators -- Infinite Matrices in Hilbert Spaces and Differential Operators -- Integral Operators in L2 -- Operator Matrices -- Hille - Tamarkin Integral Operators -- Integral Operators in L8 -- Hille - Tamarkin Matrices -- Zeros of Entire Functions -- List of Main Symbols -- Index "Operator Functions and Localization of Spectra" is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications HTTP:URL=https://doi.org/10.1007/b93845

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